HOTS for Maths Olympiad - 3 - Free MCQ Test with solutions Class 10
MCQ Practice Test & Solutions: HOTS for Maths Olympiad - 3 (10 Questions)
You can prepare effectively for Class 10 Olympiad Preparation for Class 10 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "HOTS for Maths Olympiad - 3". These 10 questions have been designed by the experts with the latest curriculum of Class 10 2026, to help you master the concept.
Test Highlights:
- - Format: Multiple Choice Questions (MCQ)
- - Duration: 15 minutes
- - Number of Questions: 10
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Read the given statements and select the incorrect option.
Detailed Solution: Question 1
Read the given statements and select the incorrect option.
Detailed Solution: Question 2
Read the following statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The sum of the interior angles of a triangle is 180 degrees.
(ii) The area of a triangle with base b and height h is given by 1/2bh.
(iii) The perimeter of an equilateral triangle with side length s is 3s
(ii) The area of a triangle with base b and height h is given by 1/2bh.
(iii) The perimeter of an equilateral triangle with side length s is 3s
Detailed Solution: Question 3
Read the following statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The circumference of a circle with radius r is 2πr.
(ii) The area of a circle with diameter d is πd2.
(iii) The volume of a sphere with radius r is 4/3 πr3.
(ii) The area of a circle with diameter d is πd2.
(iii) The volume of a sphere with radius r is 4/3 πr3.
Detailed Solution: Question 4
Fill in the blanks and select the correct option.
(i) If the roots of the quadratic equation x2 - 7x + k = 0 are equal, then the value of k is P.
(ii) If one of the roots of the quadratic equation x2 + kx + 12 = 0 is 3, then the value of k is Q.
(ii) If one of the roots of the quadratic equation x2 + kx + 12 = 0 is 3, then the value of k is Q.
Detailed Solution: Question 5
Fill in the blanks and select the correct option.
(i) The sum of the roots of the quadratic equation ax2 + bx + c = 0 is -b/a. For the equation 2x2 - 4x + 2 = 0, the sum of the roots is P.
(ii) The product of the roots of the same equation is Q.
(ii) The product of the roots of the same equation is Q.
Detailed Solution: Question 6
Read the following statements and select the correct option.
Statement-I: The sum of the roots of the quadratic equation ax2 + bx + c = 0 is -b/a
Statement-II: The product of the roots of the quadratic equation ax2 + bx + c = 0 is c/a
Statement-II: The product of the roots of the quadratic equation ax2 + bx + c = 0 is c/a
Detailed Solution: Question 7
Read the following statements and select the correct option.
Statement-I: The value of logb,(mn) is logb, m + logb, n.
Statement-Il: The value of logb (m/n) is logb m - logb, n.
Solve the following and select the correct option.
(i) If the sum of the squares of two consecutive positive integers is 365, find the integers.
(ii) If the length of the diagonal of a square is 8√2 cm, find the side length of the square.
(ii) If the length of the diagonal of a square is 8√2 cm, find the side length of the square.
Detailed Solution: Question 9
Solve the following and select the correct option.
(i) Find the sum of the first 20 terms of the arithmetic sequence where the first term is 7 and the common difference is 3.
(ii) If a solid sphere is melted and recast into 8 smaller spheres of equal size, each having a radius 1/2 of the original, find the ratio of the surface area of one of the smaller spheres to that of the original sphere.
Detailed Solution: Question 10
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